We design and instal, one off renewable energy solutions, generally for larger properties or small commercial premises. In essence your scheme is viable, but would require a fairly complex control system to optimise the performance - the inclusion of the intermittent heat pump (gym powered) significantly adds to the complexity of the system. Heat pumps ideally need to be operational 24/7
In general, if you can design around standard components a neater more economic solution would be achieved.
Three or four coil tanks are only viable with tank capacities greater than 500 litres.
If you are looking for the system to be granted RHI status, then it would need to be designed strictly in accordance to the RHI scheme rules
Hope this helps